A radiation detector is in the form of a circular disc ofdiameter 3.0 cm. It is

Question

A radiation detector is in the form of a circular disc ofdiameter 3.0 cm. It is held 25 cm from a source of radiation, whereit records 1250 counts per second. Assuming that the detectorrecords every incident upon it, find the activity of the sample (incurues) ans in back of book states 37.5 micro-curies. Thank You A radiation detector is in the form of a circular disc ofdiameter 3.0 cm. It is held 25 cm from a source of radiation, whereit records 1250 counts per second. Assuming that the detectorrecords every incident upon it, find the activity of the sample (incurues) ans in back of book states 37.5 micro-curies. Thank You Thank You

Explanation / Answer

Assuming this radiation is isotropic, what your detector is goingto detect is: xA/(4r^2) where x is the activity of the sample, A is thesurface area of your detector, and r is the distance to thedetector. => 1250 = x(((1.5)^2) cm^2)/(4*625 cm^2) => x = 1.39E6 becquerels Convert from Becquerels to curies: x = 1.39E6 becquerels(1curie/3.7E10becquerels) = 37.6 Ci The discrepancy of .1 micro Ci is just fromrounding.

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